(5x+7)(5x+7)-(5x-7)(5x-7)=140x

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Solution for (5x+7)(5x+7)-(5x-7)(5x-7)=140x equation: 


Simplifying
(5x + 7)(5x + 7) + -1(5x + -7)(5x + -7) = 140x

Reorder the terms:
(7 + 5x)(5x + 7) + -1(5x + -7)(5x + -7) = 140x

Reorder the terms:
(7 + 5x)(7 + 5x) + -1(5x + -7)(5x + -7) = 140x

Multiply (7 + 5x) * (7 + 5x)
(7(7 + 5x) + 5x * (7 + 5x)) + -1(5x + -7)(5x + -7) = 140x
((7 * 7 + 5x * 7) + 5x * (7 + 5x)) + -1(5x + -7)(5x + -7) = 140x
((49 + 35x) + 5x * (7 + 5x)) + -1(5x + -7)(5x + -7) = 140x
(49 + 35x + (7 * 5x + 5x * 5x)) + -1(5x + -7)(5x + -7) = 140x
(49 + 35x + (35x + 25x2)) + -1(5x + -7)(5x + -7) = 140x

Combine like terms: 35x + 35x = 70x
(49 + 70x + 25x2) + -1(5x + -7)(5x + -7) = 140x

Reorder the terms:
49 + 70x + 25x2 + -1(-7 + 5x)(5x + -7) = 140x

Reorder the terms:
49 + 70x + 25x2 + -1(-7 + 5x)(-7 + 5x) = 140x

Multiply (-7 + 5x) * (-7 + 5x)
49 + 70x + 25x2 + -1(-7(-7 + 5x) + 5x * (-7 + 5x)) = 140x
49 + 70x + 25x2 + -1((-7 * -7 + 5x * -7) + 5x * (-7 + 5x)) = 140x
49 + 70x + 25x2 + -1((49 + -35x) + 5x * (-7 + 5x)) = 140x
49 + 70x + 25x2 + -1(49 + -35x + (-7 * 5x + 5x * 5x)) = 140x
49 + 70x + 25x2 + -1(49 + -35x + (-35x + 25x2)) = 140x

Combine like terms: -35x + -35x = -70x
49 + 70x + 25x2 + -1(49 + -70x + 25x2) = 140x
49 + 70x + 25x2 + (49 * -1 + -70x * -1 + 25x2 * -1) = 140x
49 + 70x + 25x2 + (-49 + 70x + -25x2) = 140x

Reorder the terms:
49 + -49 + 70x + 70x + 25x2 + -25x2 = 140x

Combine like terms: 49 + -49 = 0
0 + 70x + 70x + 25x2 + -25x2 = 140x
70x + 70x + 25x2 + -25x2 = 140x

Combine like terms: 70x + 70x = 140x
140x + 25x2 + -25x2 = 140x

Combine like terms: 25x2 + -25x2 = 0
140x + 0 = 140x
140x = 140x

Add '-140x' to each side of the equation.
140x + -140x = 140x + -140x

Combine like terms: 140x + -140x = 0
0 = 140x + -140x

Combine like terms: 140x + -140x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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